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Scalar Linear 2nd Order ODEs: Introduction
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Related lectures (27)
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Orthogonal/Orthonormal Bases and Polynomials
Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.
Casting ODEs into Sturm-Liouville form
Explores casting ODEs into self-adjoint form and the role of boundary conditions in ensuring self-adjointness.
Sturm-Liouville Problem: Legendre Equation
Explores the Sturm-Liouville problem linked to the Legendre equation and its significance in physics.
Differential Equations: Methods and Solutions
Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.
Equations du premier ordre: Particular Solutions
Explains how to find particular solutions for first-order differential equations using different types of functions.
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Covers the analysis of speed variation using differential equations and small time intervals.
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Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Bernoulli Differential Equations: Historical Insights and Solutions
Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.
Quantum Mechanics: Power Series Solutions
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Ordinary Differential Equations: Second Order
Explores the resolution of second-order linear ODEs with constant coefficients and various source terms.